1031120032000 has 144 divisors (see below), whose sum is σ = 2573440060464. Its totient is φ = 411678720000.

The previous prime is 1031120031971. The next prime is 1031120032013. The reversal of 1031120032000 is 2300211301.

It can be written as a sum of positive squares in 8 ways, for example, as 81539944704 + 949580087296 = 285552^2 + 974464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17282220 + ... + 17341780.

It is an arithmetic number, because the mean of its divisors is an integer number (17871111531).

Almost surely, 2^{1031120032000} is an apocalyptic number.

1031120032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031120032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286720030232).

1031120032000 is an abundant number, since it is smaller than the sum of its proper divisors (1542320028464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031120032000 is an frugal number, since it uses more digits than its factorization.

1031120032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60133 (or 60109 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1031120032000 its reverse (2300211301), we get a palindrome (1033420243301).

The spelling of 1031120032000 in words is "one trillion, thirty-one billion, one hundred twenty million, thirty-two thousand".